Tel Aviv Univ, Dept Phys, IL-69978 Tel Aviv, Israel
; Univ Calif Los Angeles, Dept Phys & Astron, Los Angeles, CA 90095 USA
; Inst High Energy Phys, Beijing 100039, Peoples R China
Simple "unitarity inspired'' relations between two- and three-body lepton flavor violating decays are noted and discussed. In the absence of cancellations, the existing strong bounds on mu --> 3e and mu --> e gamma gamma severely constrain two-body lepton flavor violating decays.